Abstract

The principles of wavefront reconstruction by means of a geometric-optical reflection of radiation from surfaces of interference fringe maxima are discussed. The optical elements based on these principles should be achromatic. Two methods of the optical elements design are proposed. The first method is a direct holographic recording of the interference fringe structure containing only a few periods, and the second method is a combination of the measurement of the object wavefront shape with digital holography methods.

© 2006 Optical Society of America

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  10. S. Hahn, K. Kugimiya, M. Yamashita, P. R. Blaustein, and K. Takahashi, "Characterization of mirror-like wafer surfaces using the magic mirror method," J. Cryst. Growth 103, 423-432 (1990).
    [CrossRef]
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    [CrossRef]
  12. F. Riesz, "Geometrical optical model of the image formation in Makyoh (magic-mirror) topography," J. Phys. D 33, 3033-3040 (2000).
    [CrossRef]
  13. F. Riesz, "Makyoh topography: a simple yet powerful optical method for flatness and defect characterization of mirror-like surfaces," in Optical Micro- and Nanometrology in Manufacturing Technology, Ch. Gorecki and A. K. Asundi, eds., Proc. SPIE 5458, 86-100 (2004).
    [CrossRef]
  14. G. Lippman, "Sur la theorie de la photographie des couleurs simples et composees par la methode interferentielle," J. Phys. (Paris), Colloq. 3, 97-107 (1894).
  15. K. A. Stetson, "What is a hologram," Laser Focus 3(5), 25-29 (1967).
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    [CrossRef]
  17. L. B. Lezem, P. M. Hirsch, and J. A. Jordan, "The kinoform: a new wavefront reconstruction device," IBM J. Res. Develop. 13, 150-155 (1969).
    [CrossRef]
  18. M. Kovatchev and R. Ilieva, "Inphase optical processors. 1. Inphase structures in optical computing," in Optical Computing, Vol. 6 of 1991 OSA Technical Digest Series (Optical Society of America, 1991), pp. 389-396.
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  23. M. Rossi, R. E. Kunz, and H. P. Herzig, "Refractive and diffractive properties of planar micro-optical elements," Appl. Opt. 34, 5996-6007 (1995).
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  26. Y. Fu and N. K. A. Bryan, "Investigation of diffractive-refractive microlens array fabricated by focused ion beam technology," Opt. Eng. 40, 511-516 (2001).
    [CrossRef]
  27. T. Ammer and M. Rossi, "Diffractive optical elements with modulated zone sizes," J. Mod. Optics 47, 2281-2293 (2000).
    [CrossRef]
  28. Yu. A. Kravtsov and Yu. I. Orlov, Geometrical Optics of Inhomogeneous Media (Springer-Verlag, 1990).
    [CrossRef]
  29. S. V. Chekalin, D. A. Dement'ev, A. L. Ivanov, Y. A. Matveets, O. B. Serov, A. M. Smolovich, and A. G. Stepanov, "Geometric-optical reconstruction of a wavefront," in ICONO '98: Nonlinear Optical Phenomena and Coherent Optics in Information Technologies, S. S. Chesnokov, V. P. Kandidov, and N. I. Koroteev, eds., Proc. SPIE 3733, 452-458 (1999).
    [CrossRef]
  30. M. A. Cervantes and A. M. Smolovich, "Ultrashort pulse scattering by 3D interference fringe structure," in ICONO 2001: Ultrafast Phenomena and Strong Laser Fields, V. M. Gordienko, A. A. Afanas'ev, and V. V. Shuvalov, eds., Proc. SPIE 4752, pp. 66-73 (2002).
    [CrossRef]
  31. D. Gabor and G. W. Stroke, "The theory of deep holograms," Proc. R. Soc. London A 304, 275-289 (1968).
    [CrossRef]
  32. S. V. Chekalin, D. A. Dement'ev, A. L. Ivanov, Yu. A. Matveets, O. B. Serov, A. M. Smolovich, and A. G. Stepanov, "Geometric-optical reconstruction of a wavefront. Experimental realization with femtosecond laser pulses," Optics Commun. 150, 38-42 (1998).
    [CrossRef]
  33. M. Born and E. Wolf, Principles of Optics, 2nd ed. (Pergamon, 1964).
  34. I. N. Sisakyan, A. M. Smolovich, and V. A. Soifer, "Apparatus for radiation focusing," Russian patent 1620973 (1990).
  35. S. A. Aseyev, M. A. Cervantes, S. V. Chekalin, V. O. Kompanets, Yu. A. Matveets, O. B. Serov, A. M. Smolovich, and V. S. Terpugov, "Femtosecond holography in planar optical waveguides," in Photon Echo and Coherent Spectroscopy 2005, V. V. Samartsev, ed., Proc. SPIE 6181, 274-281 (2006).

2006 (1)

S. A. Aseyev, M. A. Cervantes, S. V. Chekalin, V. O. Kompanets, Yu. A. Matveets, O. B. Serov, A. M. Smolovich, and V. S. Terpugov, "Femtosecond holography in planar optical waveguides," in Photon Echo and Coherent Spectroscopy 2005, V. V. Samartsev, ed., Proc. SPIE 6181, 274-281 (2006).

2004 (1)

F. Riesz, "Makyoh topography: a simple yet powerful optical method for flatness and defect characterization of mirror-like surfaces," in Optical Micro- and Nanometrology in Manufacturing Technology, Ch. Gorecki and A. K. Asundi, eds., Proc. SPIE 5458, 86-100 (2004).
[CrossRef]

2002 (1)

M. A. Cervantes and A. M. Smolovich, "Ultrashort pulse scattering by 3D interference fringe structure," in ICONO 2001: Ultrafast Phenomena and Strong Laser Fields, V. M. Gordienko, A. A. Afanas'ev, and V. V. Shuvalov, eds., Proc. SPIE 4752, pp. 66-73 (2002).
[CrossRef]

2001 (1)

Y. Fu and N. K. A. Bryan, "Investigation of diffractive-refractive microlens array fabricated by focused ion beam technology," Opt. Eng. 40, 511-516 (2001).
[CrossRef]

2000 (2)

T. Ammer and M. Rossi, "Diffractive optical elements with modulated zone sizes," J. Mod. Optics 47, 2281-2293 (2000).
[CrossRef]

F. Riesz, "Geometrical optical model of the image formation in Makyoh (magic-mirror) topography," J. Phys. D 33, 3033-3040 (2000).
[CrossRef]

1999 (1)

S. V. Chekalin, D. A. Dement'ev, A. L. Ivanov, Y. A. Matveets, O. B. Serov, A. M. Smolovich, and A. G. Stepanov, "Geometric-optical reconstruction of a wavefront," in ICONO '98: Nonlinear Optical Phenomena and Coherent Optics in Information Technologies, S. S. Chesnokov, V. P. Kandidov, and N. I. Koroteev, eds., Proc. SPIE 3733, 452-458 (1999).
[CrossRef]

1998 (1)

S. V. Chekalin, D. A. Dement'ev, A. L. Ivanov, Yu. A. Matveets, O. B. Serov, A. M. Smolovich, and A. G. Stepanov, "Geometric-optical reconstruction of a wavefront. Experimental realization with femtosecond laser pulses," Optics Commun. 150, 38-42 (1998).
[CrossRef]

1997 (3)

1996 (1)

M. Kovatchev and R. Ilieva, "Diffractive, refractive optics or anything more? Comparative analysis and trends of development," J. Mod. Optics 43, 1535-1541 (1996).
[CrossRef]

1995 (4)

1992 (1)

S. Hahn, K. Kugimiya, K. Vojtechovsky, M. Sifalda, M. Yamashita, P. R. Blaustein, K. Takahashi, "Characterization of mirror-polished SI wafers and advanced SI substrate structures using the magic mirror method," Semicond. Sci. Technol. 7, A80-A85 (1992).
[CrossRef]

1991 (2)

Z. M. Zhang, "Optics in China: ancient and modern accomplishments," in International Trends in Optics, J. W. Goodman, ed. (Academic, 1991), Vol. 1, pp. 185-194.

I. N. Sisakyan and A. M. Smolovich, "Achromatic reconstruction of a wavefront," Sov. Tech. Phys. Lett. 17, 16-17 (1991).

1990 (3)

S. Hahn, K. Kugimiya, M. Yamashita, P. R. Blaustein, and K. Takahashi, "Characterization of mirror-like wafer surfaces using the magic mirror method," J. Cryst. Growth 103, 423-432 (1990).
[CrossRef]

Yu. A. Kravtsov and Yu. I. Orlov, Geometrical Optics of Inhomogeneous Media (Springer-Verlag, 1990).
[CrossRef]

I. N. Sisakyan, A. M. Smolovich, and V. A. Soifer, "Apparatus for radiation focusing," Russian patent 1620973 (1990).

1969 (2)

L. B. Lezem, P. M. Hirsch, and J. A. Jordan, "The kinoform: a new wavefront reconstruction device," IBM J. Res. Develop. 13, 150-155 (1969).
[CrossRef]

S. A. Benton, "Hologram reconstruction with incoherent extended sources," J. Opt. Soc. Am. 59, 1545A (1969).

1968 (2)

N. K. Sheridon, "Production of blazed holograms," Appl. Phys. Lett. 12, 316-318 (1968).
[CrossRef]

D. Gabor and G. W. Stroke, "The theory of deep holograms," Proc. R. Soc. London A 304, 275-289 (1968).
[CrossRef]

1967 (1)

K. A. Stetson, "What is a hologram," Laser Focus 3(5), 25-29 (1967).

1965 (1)

1964 (1)

M. Born and E. Wolf, Principles of Optics, 2nd ed. (Pergamon, 1964).

1963 (1)

Yu. N. Denisyuk, "On the reflection of optical properties of an object in the wave field of the radiation scattered by it," Opt. Spectrosc. 15, 279-284 (1963).

1962 (1)

Yu. N. Denisyuk, "On the reflection of optical properties of an object in the wave field of the radiation scattered by it," Sov. Phys. Dokl. 7, 543-545 (1962).

1949 (1)

D. Gabor, "Microscopy by reconstructed wavefronts," Proc. R. Soc. London , Ser. A 197, 457-484 (1949).

1894 (1)

G. Lippman, "Sur la theorie de la photographie des couleurs simples et composees par la methode interferentielle," J. Phys. (Paris), Colloq. 3, 97-107 (1894).

Ammer, T.

T. Ammer and M. Rossi, "Diffractive optical elements with modulated zone sizes," J. Mod. Optics 47, 2281-2293 (2000).
[CrossRef]

Aseyev, S. A.

S. A. Aseyev, M. A. Cervantes, S. V. Chekalin, V. O. Kompanets, Yu. A. Matveets, O. B. Serov, A. M. Smolovich, and V. S. Terpugov, "Femtosecond holography in planar optical waveguides," in Photon Echo and Coherent Spectroscopy 2005, V. V. Samartsev, ed., Proc. SPIE 6181, 274-281 (2006).

Benton, S. A.

S. A. Benton, "Hologram reconstruction with incoherent extended sources," J. Opt. Soc. Am. 59, 1545A (1969).

Blaustein, P. R.

S. Hahn, K. Kugimiya, K. Vojtechovsky, M. Sifalda, M. Yamashita, P. R. Blaustein, K. Takahashi, "Characterization of mirror-polished SI wafers and advanced SI substrate structures using the magic mirror method," Semicond. Sci. Technol. 7, A80-A85 (1992).
[CrossRef]

S. Hahn, K. Kugimiya, M. Yamashita, P. R. Blaustein, and K. Takahashi, "Characterization of mirror-like wafer surfaces using the magic mirror method," J. Cryst. Growth 103, 423-432 (1990).
[CrossRef]

Blough, C. G.

Born, M.

M. Born and E. Wolf, Principles of Optics, 2nd ed. (Pergamon, 1964).

Bryan, N. K. A.

Y. Fu and N. K. A. Bryan, "Investigation of diffractive-refractive microlens array fabricated by focused ion beam technology," Opt. Eng. 40, 511-516 (2001).
[CrossRef]

Cervantes, M. A.

S. A. Aseyev, M. A. Cervantes, S. V. Chekalin, V. O. Kompanets, Yu. A. Matveets, O. B. Serov, A. M. Smolovich, and V. S. Terpugov, "Femtosecond holography in planar optical waveguides," in Photon Echo and Coherent Spectroscopy 2005, V. V. Samartsev, ed., Proc. SPIE 6181, 274-281 (2006).

M. A. Cervantes and A. M. Smolovich, "Ultrashort pulse scattering by 3D interference fringe structure," in ICONO 2001: Ultrafast Phenomena and Strong Laser Fields, V. M. Gordienko, A. A. Afanas'ev, and V. V. Shuvalov, eds., Proc. SPIE 4752, pp. 66-73 (2002).
[CrossRef]

Chekalin, S. V.

S. A. Aseyev, M. A. Cervantes, S. V. Chekalin, V. O. Kompanets, Yu. A. Matveets, O. B. Serov, A. M. Smolovich, and V. S. Terpugov, "Femtosecond holography in planar optical waveguides," in Photon Echo and Coherent Spectroscopy 2005, V. V. Samartsev, ed., Proc. SPIE 6181, 274-281 (2006).

S. V. Chekalin, D. A. Dement'ev, A. L. Ivanov, Y. A. Matveets, O. B. Serov, A. M. Smolovich, and A. G. Stepanov, "Geometric-optical reconstruction of a wavefront," in ICONO '98: Nonlinear Optical Phenomena and Coherent Optics in Information Technologies, S. S. Chesnokov, V. P. Kandidov, and N. I. Koroteev, eds., Proc. SPIE 3733, 452-458 (1999).
[CrossRef]

S. V. Chekalin, D. A. Dement'ev, A. L. Ivanov, Yu. A. Matveets, O. B. Serov, A. M. Smolovich, and A. G. Stepanov, "Geometric-optical reconstruction of a wavefront. Experimental realization with femtosecond laser pulses," Optics Commun. 150, 38-42 (1998).
[CrossRef]

D. A. Dement'ev, A. L. Ivanov, O. B. Serov, A. M. Smolovich, A. G. Stepanov, and S. V. Chekalin, "Achromatic reconstruction of the wave front femtosecond laser pulses," JETP Lett. 65, 402-404 (1997).
[CrossRef]

Dement'ev, D. A.

S. V. Chekalin, D. A. Dement'ev, A. L. Ivanov, Y. A. Matveets, O. B. Serov, A. M. Smolovich, and A. G. Stepanov, "Geometric-optical reconstruction of a wavefront," in ICONO '98: Nonlinear Optical Phenomena and Coherent Optics in Information Technologies, S. S. Chesnokov, V. P. Kandidov, and N. I. Koroteev, eds., Proc. SPIE 3733, 452-458 (1999).
[CrossRef]

S. V. Chekalin, D. A. Dement'ev, A. L. Ivanov, Yu. A. Matveets, O. B. Serov, A. M. Smolovich, and A. G. Stepanov, "Geometric-optical reconstruction of a wavefront. Experimental realization with femtosecond laser pulses," Optics Commun. 150, 38-42 (1998).
[CrossRef]

D. A. Dement'ev, A. L. Ivanov, O. B. Serov, A. M. Smolovich, A. G. Stepanov, and S. V. Chekalin, "Achromatic reconstruction of the wave front femtosecond laser pulses," JETP Lett. 65, 402-404 (1997).
[CrossRef]

Denisyuk, Yu. N.

Yu. N. Denisyuk, "On the reflection of optical properties of an object in the wave field of the radiation scattered by it," Opt. Spectrosc. 15, 279-284 (1963).

Yu. N. Denisyuk, "On the reflection of optical properties of an object in the wave field of the radiation scattered by it," Sov. Phys. Dokl. 7, 543-545 (1962).

Faklis, D.

Fu, Y.

Y. Fu and N. K. A. Bryan, "Investigation of diffractive-refractive microlens array fabricated by focused ion beam technology," Opt. Eng. 40, 511-516 (2001).
[CrossRef]

Gabor, D.

D. Gabor and G. W. Stroke, "The theory of deep holograms," Proc. R. Soc. London A 304, 275-289 (1968).
[CrossRef]

D. Gabor, "Microscopy by reconstructed wavefronts," Proc. R. Soc. London , Ser. A 197, 457-484 (1949).

Gamo, H.

H. Gamo, "Magic mirrors: optics, technology and history," demonstration and poster session WXI at the Optical Society of America Annual Meeting, New Orleans, 17-20 October, 1983.

Hahn, S.

S. Hahn, K. Kugimiya, K. Vojtechovsky, M. Sifalda, M. Yamashita, P. R. Blaustein, K. Takahashi, "Characterization of mirror-polished SI wafers and advanced SI substrate structures using the magic mirror method," Semicond. Sci. Technol. 7, A80-A85 (1992).
[CrossRef]

S. Hahn, K. Kugimiya, M. Yamashita, P. R. Blaustein, and K. Takahashi, "Characterization of mirror-like wafer surfaces using the magic mirror method," J. Cryst. Growth 103, 423-432 (1990).
[CrossRef]

Herzig, H. P.

Hirsch, P. M.

L. B. Lezem, P. M. Hirsch, and J. A. Jordan, "The kinoform: a new wavefront reconstruction device," IBM J. Res. Develop. 13, 150-155 (1969).
[CrossRef]

Ilieva, R.

M. Kovatchev and R. Ilieva, "Diffractive, refractive optics or anything more? Comparative analysis and trends of development," J. Mod. Optics 43, 1535-1541 (1996).
[CrossRef]

M. Kovatchev and R. Ilieva, "Inphase optical processors. 1. Inphase structures in optical computing," in Optical Computing, Vol. 6 of 1991 OSA Technical Digest Series (Optical Society of America, 1991), pp. 389-396.

Ivanov, A. L.

S. V. Chekalin, D. A. Dement'ev, A. L. Ivanov, Y. A. Matveets, O. B. Serov, A. M. Smolovich, and A. G. Stepanov, "Geometric-optical reconstruction of a wavefront," in ICONO '98: Nonlinear Optical Phenomena and Coherent Optics in Information Technologies, S. S. Chesnokov, V. P. Kandidov, and N. I. Koroteev, eds., Proc. SPIE 3733, 452-458 (1999).
[CrossRef]

S. V. Chekalin, D. A. Dement'ev, A. L. Ivanov, Yu. A. Matveets, O. B. Serov, A. M. Smolovich, and A. G. Stepanov, "Geometric-optical reconstruction of a wavefront. Experimental realization with femtosecond laser pulses," Optics Commun. 150, 38-42 (1998).
[CrossRef]

D. A. Dement'ev, A. L. Ivanov, O. B. Serov, A. M. Smolovich, A. G. Stepanov, and S. V. Chekalin, "Achromatic reconstruction of the wave front femtosecond laser pulses," JETP Lett. 65, 402-404 (1997).
[CrossRef]

Jordan, J. A.

L. B. Lezem, P. M. Hirsch, and J. A. Jordan, "The kinoform: a new wavefront reconstruction device," IBM J. Res. Develop. 13, 150-155 (1969).
[CrossRef]

Kompanets, V. O.

S. A. Aseyev, M. A. Cervantes, S. V. Chekalin, V. O. Kompanets, Yu. A. Matveets, O. B. Serov, A. M. Smolovich, and V. S. Terpugov, "Femtosecond holography in planar optical waveguides," in Photon Echo and Coherent Spectroscopy 2005, V. V. Samartsev, ed., Proc. SPIE 6181, 274-281 (2006).

Kovatchev, M.

M. Kovatchev and R. Ilieva, "Diffractive, refractive optics or anything more? Comparative analysis and trends of development," J. Mod. Optics 43, 1535-1541 (1996).
[CrossRef]

M. Kovatchev and R. Ilieva, "Inphase optical processors. 1. Inphase structures in optical computing," in Optical Computing, Vol. 6 of 1991 OSA Technical Digest Series (Optical Society of America, 1991), pp. 389-396.

Kravtsov, Yu. A.

Yu. A. Kravtsov and Yu. I. Orlov, Geometrical Optics of Inhomogeneous Media (Springer-Verlag, 1990).
[CrossRef]

Kugimiya, K.

S. Hahn, K. Kugimiya, K. Vojtechovsky, M. Sifalda, M. Yamashita, P. R. Blaustein, K. Takahashi, "Characterization of mirror-polished SI wafers and advanced SI substrate structures using the magic mirror method," Semicond. Sci. Technol. 7, A80-A85 (1992).
[CrossRef]

S. Hahn, K. Kugimiya, M. Yamashita, P. R. Blaustein, and K. Takahashi, "Characterization of mirror-like wafer surfaces using the magic mirror method," J. Cryst. Growth 103, 423-432 (1990).
[CrossRef]

Kunz, R. E.

Lezem, L. B.

L. B. Lezem, P. M. Hirsch, and J. A. Jordan, "The kinoform: a new wavefront reconstruction device," IBM J. Res. Develop. 13, 150-155 (1969).
[CrossRef]

Lippman, G.

G. Lippman, "Sur la theorie de la photographie des couleurs simples et composees par la methode interferentielle," J. Phys. (Paris), Colloq. 3, 97-107 (1894).

Mack, S. K.

Matveets, Y. A.

S. V. Chekalin, D. A. Dement'ev, A. L. Ivanov, Y. A. Matveets, O. B. Serov, A. M. Smolovich, and A. G. Stepanov, "Geometric-optical reconstruction of a wavefront," in ICONO '98: Nonlinear Optical Phenomena and Coherent Optics in Information Technologies, S. S. Chesnokov, V. P. Kandidov, and N. I. Koroteev, eds., Proc. SPIE 3733, 452-458 (1999).
[CrossRef]

Matveets, Yu. A.

S. A. Aseyev, M. A. Cervantes, S. V. Chekalin, V. O. Kompanets, Yu. A. Matveets, O. B. Serov, A. M. Smolovich, and V. S. Terpugov, "Femtosecond holography in planar optical waveguides," in Photon Echo and Coherent Spectroscopy 2005, V. V. Samartsev, ed., Proc. SPIE 6181, 274-281 (2006).

S. V. Chekalin, D. A. Dement'ev, A. L. Ivanov, Yu. A. Matveets, O. B. Serov, A. M. Smolovich, and A. G. Stepanov, "Geometric-optical reconstruction of a wavefront. Experimental realization with femtosecond laser pulses," Optics Commun. 150, 38-42 (1998).
[CrossRef]

Meier, R. W.

Michaels, R. L.

Morris, G. M.

Orlov, Yu. I.

Yu. A. Kravtsov and Yu. I. Orlov, Geometrical Optics of Inhomogeneous Media (Springer-Verlag, 1990).
[CrossRef]

Riesz, F.

F. Riesz, "Makyoh topography: a simple yet powerful optical method for flatness and defect characterization of mirror-like surfaces," in Optical Micro- and Nanometrology in Manufacturing Technology, Ch. Gorecki and A. K. Asundi, eds., Proc. SPIE 5458, 86-100 (2004).
[CrossRef]

F. Riesz, "Geometrical optical model of the image formation in Makyoh (magic-mirror) topography," J. Phys. D 33, 3033-3040 (2000).
[CrossRef]

Rossi, M.

Sales, T. R.

Serov, O. B.

S. A. Aseyev, M. A. Cervantes, S. V. Chekalin, V. O. Kompanets, Yu. A. Matveets, O. B. Serov, A. M. Smolovich, and V. S. Terpugov, "Femtosecond holography in planar optical waveguides," in Photon Echo and Coherent Spectroscopy 2005, V. V. Samartsev, ed., Proc. SPIE 6181, 274-281 (2006).

S. V. Chekalin, D. A. Dement'ev, A. L. Ivanov, Y. A. Matveets, O. B. Serov, A. M. Smolovich, and A. G. Stepanov, "Geometric-optical reconstruction of a wavefront," in ICONO '98: Nonlinear Optical Phenomena and Coherent Optics in Information Technologies, S. S. Chesnokov, V. P. Kandidov, and N. I. Koroteev, eds., Proc. SPIE 3733, 452-458 (1999).
[CrossRef]

S. V. Chekalin, D. A. Dement'ev, A. L. Ivanov, Yu. A. Matveets, O. B. Serov, A. M. Smolovich, and A. G. Stepanov, "Geometric-optical reconstruction of a wavefront. Experimental realization with femtosecond laser pulses," Optics Commun. 150, 38-42 (1998).
[CrossRef]

D. A. Dement'ev, A. L. Ivanov, O. B. Serov, A. M. Smolovich, A. G. Stepanov, and S. V. Chekalin, "Achromatic reconstruction of the wave front femtosecond laser pulses," JETP Lett. 65, 402-404 (1997).
[CrossRef]

Sheridon, N. K.

N. K. Sheridon, "Production of blazed holograms," Appl. Phys. Lett. 12, 316-318 (1968).
[CrossRef]

Sifalda, M.

S. Hahn, K. Kugimiya, K. Vojtechovsky, M. Sifalda, M. Yamashita, P. R. Blaustein, K. Takahashi, "Characterization of mirror-polished SI wafers and advanced SI substrate structures using the magic mirror method," Semicond. Sci. Technol. 7, A80-A85 (1992).
[CrossRef]

Sinzinger, S.

Sisakyan, I. N.

I. N. Sisakyan and A. M. Smolovich, "Achromatic reconstruction of a wavefront," Sov. Tech. Phys. Lett. 17, 16-17 (1991).

I. N. Sisakyan, A. M. Smolovich, and V. A. Soifer, "Apparatus for radiation focusing," Russian patent 1620973 (1990).

Smolovich, A. M.

S. A. Aseyev, M. A. Cervantes, S. V. Chekalin, V. O. Kompanets, Yu. A. Matveets, O. B. Serov, A. M. Smolovich, and V. S. Terpugov, "Femtosecond holography in planar optical waveguides," in Photon Echo and Coherent Spectroscopy 2005, V. V. Samartsev, ed., Proc. SPIE 6181, 274-281 (2006).

M. A. Cervantes and A. M. Smolovich, "Ultrashort pulse scattering by 3D interference fringe structure," in ICONO 2001: Ultrafast Phenomena and Strong Laser Fields, V. M. Gordienko, A. A. Afanas'ev, and V. V. Shuvalov, eds., Proc. SPIE 4752, pp. 66-73 (2002).
[CrossRef]

S. V. Chekalin, D. A. Dement'ev, A. L. Ivanov, Y. A. Matveets, O. B. Serov, A. M. Smolovich, and A. G. Stepanov, "Geometric-optical reconstruction of a wavefront," in ICONO '98: Nonlinear Optical Phenomena and Coherent Optics in Information Technologies, S. S. Chesnokov, V. P. Kandidov, and N. I. Koroteev, eds., Proc. SPIE 3733, 452-458 (1999).
[CrossRef]

S. V. Chekalin, D. A. Dement'ev, A. L. Ivanov, Yu. A. Matveets, O. B. Serov, A. M. Smolovich, and A. G. Stepanov, "Geometric-optical reconstruction of a wavefront. Experimental realization with femtosecond laser pulses," Optics Commun. 150, 38-42 (1998).
[CrossRef]

D. A. Dement'ev, A. L. Ivanov, O. B. Serov, A. M. Smolovich, A. G. Stepanov, and S. V. Chekalin, "Achromatic reconstruction of the wave front femtosecond laser pulses," JETP Lett. 65, 402-404 (1997).
[CrossRef]

I. N. Sisakyan and A. M. Smolovich, "Achromatic reconstruction of a wavefront," Sov. Tech. Phys. Lett. 17, 16-17 (1991).

I. N. Sisakyan, A. M. Smolovich, and V. A. Soifer, "Apparatus for radiation focusing," Russian patent 1620973 (1990).

Soifer, V. A.

I. N. Sisakyan, A. M. Smolovich, and V. A. Soifer, "Apparatus for radiation focusing," Russian patent 1620973 (1990).

Sommargen, G. E.

Stepanov, A. G.

S. V. Chekalin, D. A. Dement'ev, A. L. Ivanov, Y. A. Matveets, O. B. Serov, A. M. Smolovich, and A. G. Stepanov, "Geometric-optical reconstruction of a wavefront," in ICONO '98: Nonlinear Optical Phenomena and Coherent Optics in Information Technologies, S. S. Chesnokov, V. P. Kandidov, and N. I. Koroteev, eds., Proc. SPIE 3733, 452-458 (1999).
[CrossRef]

S. V. Chekalin, D. A. Dement'ev, A. L. Ivanov, Yu. A. Matveets, O. B. Serov, A. M. Smolovich, and A. G. Stepanov, "Geometric-optical reconstruction of a wavefront. Experimental realization with femtosecond laser pulses," Optics Commun. 150, 38-42 (1998).
[CrossRef]

D. A. Dement'ev, A. L. Ivanov, O. B. Serov, A. M. Smolovich, A. G. Stepanov, and S. V. Chekalin, "Achromatic reconstruction of the wave front femtosecond laser pulses," JETP Lett. 65, 402-404 (1997).
[CrossRef]

Stetson, K. A.

K. A. Stetson, "What is a hologram," Laser Focus 3(5), 25-29 (1967).

Stroke, G. W.

D. Gabor and G. W. Stroke, "The theory of deep holograms," Proc. R. Soc. London A 304, 275-289 (1968).
[CrossRef]

Sweeney, D. W.

Takahashi, K.

S. Hahn, K. Kugimiya, K. Vojtechovsky, M. Sifalda, M. Yamashita, P. R. Blaustein, K. Takahashi, "Characterization of mirror-polished SI wafers and advanced SI substrate structures using the magic mirror method," Semicond. Sci. Technol. 7, A80-A85 (1992).
[CrossRef]

S. Hahn, K. Kugimiya, M. Yamashita, P. R. Blaustein, and K. Takahashi, "Characterization of mirror-like wafer surfaces using the magic mirror method," J. Cryst. Growth 103, 423-432 (1990).
[CrossRef]

Terpugov, V. S.

S. A. Aseyev, M. A. Cervantes, S. V. Chekalin, V. O. Kompanets, Yu. A. Matveets, O. B. Serov, A. M. Smolovich, and V. S. Terpugov, "Femtosecond holography in planar optical waveguides," in Photon Echo and Coherent Spectroscopy 2005, V. V. Samartsev, ed., Proc. SPIE 6181, 274-281 (2006).

Testorf, M.

Vojtechovsky, K.

S. Hahn, K. Kugimiya, K. Vojtechovsky, M. Sifalda, M. Yamashita, P. R. Blaustein, K. Takahashi, "Characterization of mirror-polished SI wafers and advanced SI substrate structures using the magic mirror method," Semicond. Sci. Technol. 7, A80-A85 (1992).
[CrossRef]

Wolf, E.

M. Born and E. Wolf, Principles of Optics, 2nd ed. (Pergamon, 1964).

Yamashita, M.

S. Hahn, K. Kugimiya, K. Vojtechovsky, M. Sifalda, M. Yamashita, P. R. Blaustein, K. Takahashi, "Characterization of mirror-polished SI wafers and advanced SI substrate structures using the magic mirror method," Semicond. Sci. Technol. 7, A80-A85 (1992).
[CrossRef]

S. Hahn, K. Kugimiya, M. Yamashita, P. R. Blaustein, and K. Takahashi, "Characterization of mirror-like wafer surfaces using the magic mirror method," J. Cryst. Growth 103, 423-432 (1990).
[CrossRef]

Zhang, Z. M.

Z. M. Zhang, "Optics in China: ancient and modern accomplishments," in International Trends in Optics, J. W. Goodman, ed. (Academic, 1991), Vol. 1, pp. 185-194.

Appl. Opt. (6)

Appl. Phys. Lett. (1)

N. K. Sheridon, "Production of blazed holograms," Appl. Phys. Lett. 12, 316-318 (1968).
[CrossRef]

IBM J. Res. Develop. (1)

L. B. Lezem, P. M. Hirsch, and J. A. Jordan, "The kinoform: a new wavefront reconstruction device," IBM J. Res. Develop. 13, 150-155 (1969).
[CrossRef]

J. Cryst. Growth (1)

S. Hahn, K. Kugimiya, M. Yamashita, P. R. Blaustein, and K. Takahashi, "Characterization of mirror-like wafer surfaces using the magic mirror method," J. Cryst. Growth 103, 423-432 (1990).
[CrossRef]

J. Mod. Optics (2)

M. Kovatchev and R. Ilieva, "Diffractive, refractive optics or anything more? Comparative analysis and trends of development," J. Mod. Optics 43, 1535-1541 (1996).
[CrossRef]

T. Ammer and M. Rossi, "Diffractive optical elements with modulated zone sizes," J. Mod. Optics 47, 2281-2293 (2000).
[CrossRef]

J. Opt. Soc. Am. (2)

R. W. Meier, "Magnification and third-order aberrations in holography," J. Opt. Soc. Am. 55, 987-992 (1965).

S. A. Benton, "Hologram reconstruction with incoherent extended sources," J. Opt. Soc. Am. 59, 1545A (1969).

J. Phys. (1)

G. Lippman, "Sur la theorie de la photographie des couleurs simples et composees par la methode interferentielle," J. Phys. (Paris), Colloq. 3, 97-107 (1894).

J. Phys. D (1)

F. Riesz, "Geometrical optical model of the image formation in Makyoh (magic-mirror) topography," J. Phys. D 33, 3033-3040 (2000).
[CrossRef]

JETP Lett. (1)

D. A. Dement'ev, A. L. Ivanov, O. B. Serov, A. M. Smolovich, A. G. Stepanov, and S. V. Chekalin, "Achromatic reconstruction of the wave front femtosecond laser pulses," JETP Lett. 65, 402-404 (1997).
[CrossRef]

Laser Focus (1)

K. A. Stetson, "What is a hologram," Laser Focus 3(5), 25-29 (1967).

Opt. Eng. (1)

Y. Fu and N. K. A. Bryan, "Investigation of diffractive-refractive microlens array fabricated by focused ion beam technology," Opt. Eng. 40, 511-516 (2001).
[CrossRef]

Opt. Spectrosc. (1)

Yu. N. Denisyuk, "On the reflection of optical properties of an object in the wave field of the radiation scattered by it," Opt. Spectrosc. 15, 279-284 (1963).

Optics Commun. (1)

S. V. Chekalin, D. A. Dement'ev, A. L. Ivanov, Yu. A. Matveets, O. B. Serov, A. M. Smolovich, and A. G. Stepanov, "Geometric-optical reconstruction of a wavefront. Experimental realization with femtosecond laser pulses," Optics Commun. 150, 38-42 (1998).
[CrossRef]

Proc. R. Soc. London (1)

D. Gabor, "Microscopy by reconstructed wavefronts," Proc. R. Soc. London , Ser. A 197, 457-484 (1949).

Proc. R. Soc. London A (1)

D. Gabor and G. W. Stroke, "The theory of deep holograms," Proc. R. Soc. London A 304, 275-289 (1968).
[CrossRef]

Proc. SPIE (3)

S. V. Chekalin, D. A. Dement'ev, A. L. Ivanov, Y. A. Matveets, O. B. Serov, A. M. Smolovich, and A. G. Stepanov, "Geometric-optical reconstruction of a wavefront," in ICONO '98: Nonlinear Optical Phenomena and Coherent Optics in Information Technologies, S. S. Chesnokov, V. P. Kandidov, and N. I. Koroteev, eds., Proc. SPIE 3733, 452-458 (1999).
[CrossRef]

M. A. Cervantes and A. M. Smolovich, "Ultrashort pulse scattering by 3D interference fringe structure," in ICONO 2001: Ultrafast Phenomena and Strong Laser Fields, V. M. Gordienko, A. A. Afanas'ev, and V. V. Shuvalov, eds., Proc. SPIE 4752, pp. 66-73 (2002).
[CrossRef]

F. Riesz, "Makyoh topography: a simple yet powerful optical method for flatness and defect characterization of mirror-like surfaces," in Optical Micro- and Nanometrology in Manufacturing Technology, Ch. Gorecki and A. K. Asundi, eds., Proc. SPIE 5458, 86-100 (2004).
[CrossRef]

Semicond. Sci. Technol. (1)

S. Hahn, K. Kugimiya, K. Vojtechovsky, M. Sifalda, M. Yamashita, P. R. Blaustein, K. Takahashi, "Characterization of mirror-polished SI wafers and advanced SI substrate structures using the magic mirror method," Semicond. Sci. Technol. 7, A80-A85 (1992).
[CrossRef]

Sov. Phys. Dokl. (1)

Yu. N. Denisyuk, "On the reflection of optical properties of an object in the wave field of the radiation scattered by it," Sov. Phys. Dokl. 7, 543-545 (1962).

Sov. Tech. Phys. Lett. (1)

I. N. Sisakyan and A. M. Smolovich, "Achromatic reconstruction of a wavefront," Sov. Tech. Phys. Lett. 17, 16-17 (1991).

Other (7)

Z. M. Zhang, "Optics in China: ancient and modern accomplishments," in International Trends in Optics, J. W. Goodman, ed. (Academic, 1991), Vol. 1, pp. 185-194.

H. Gamo, "Magic mirrors: optics, technology and history," demonstration and poster session WXI at the Optical Society of America Annual Meeting, New Orleans, 17-20 October, 1983.

M. Kovatchev and R. Ilieva, "Inphase optical processors. 1. Inphase structures in optical computing," in Optical Computing, Vol. 6 of 1991 OSA Technical Digest Series (Optical Society of America, 1991), pp. 389-396.

Yu. A. Kravtsov and Yu. I. Orlov, Geometrical Optics of Inhomogeneous Media (Springer-Verlag, 1990).
[CrossRef]

M. Born and E. Wolf, Principles of Optics, 2nd ed. (Pergamon, 1964).

I. N. Sisakyan, A. M. Smolovich, and V. A. Soifer, "Apparatus for radiation focusing," Russian patent 1620973 (1990).

S. A. Aseyev, M. A. Cervantes, S. V. Chekalin, V. O. Kompanets, Yu. A. Matveets, O. B. Serov, A. M. Smolovich, and V. S. Terpugov, "Femtosecond holography in planar optical waveguides," in Photon Echo and Coherent Spectroscopy 2005, V. V. Samartsev, ed., Proc. SPIE 6181, 274-281 (2006).

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Figures (5)

Fig. 1
Fig. 1

Two mechanisms of wavefront reconstruction: (a) conventional volume holograms, (b) proposed GO volume holograms.

Fig. 2
Fig. 2

Scheme of hologram recording in reflection geometry.

Fig. 3
Fig. 3

Determination of SCPD shapes from relief holograms: (a) relief hologram, (b) surface with constant phase differences.

Fig. 4
Fig. 4

BE and SE produced on the opposite sides of the same substrate.

Fig. 5
Fig. 5

Optical system of two smooth optical elements not divided into zones: optical element with a SFPE and optical element with a WFPE.

Equations (7)

Equations on this page are rendered with MathJax. Learn more.

A O 2 ( r ) + A R 2 ( r ) + 2 A O ( r ) A R ( r ) cos { k [ L R ( r ) L O ( r ) ] } .
L R ( r ) L O ( r ) = p ,
k L refl ( r ) = k L R ( r ) .
L refl ( r ) = L O ( r ) + p ,
A O ( r ) A R 2 ( r ) exp { i [ ( k - k ) L R ( r ) + k L O ( r ) ] } + A O ( r ) A R 2 ( r ) exp { i [ ( k + k ) L R ( r ) k L O ( r ) ] } ,
( λ / λ ) L O ( r ) + ( 1 λ / λ ) L R ( r ) .
L R ( r ) Φ ( r ) / k = p .

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